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Simplifying 3(5c + -1) + -6 = 11c + 3 Reorder the terms: 3(-1 + 5c) + -6 = 11c + 3 (-1 * 3 + 5c * 3) + -6 = 11c + 3 (-3 + 15c) + -6 = 11c + 3 Reorder the terms: -3 + -6 + 15c = 11c + 3 Combine like terms: -3 + -6 = -9 -9 + 15c = 11c + 3 Reorder the terms: -9 + 15c = 3 + 11c Solving -9 + 15c = 3 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. -9 + 15c + -11c = 3 + 11c + -11c Combine like terms: 15c + -11c = 4c -9 + 4c = 3 + 11c + -11c Combine like terms: 11c + -11c = 0 -9 + 4c = 3 + 0 -9 + 4c = 3 Add '9' to each side of the equation. -9 + 9 + 4c = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 4c = 3 + 9 4c = 3 + 9 Combine like terms: 3 + 9 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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